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| author | Thibaut Horel <thibaut.horel@gmail.com> | 2015-02-06 15:48:24 -0500 |
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| committer | Thibaut Horel <thibaut.horel@gmail.com> | 2015-02-06 15:48:24 -0500 |
| commit | 0ff14f56819acfc7be77f9237e18417d465b2266 (patch) | |
| tree | 32576d399ce36de031188e1ffff5b8e3f56b4336 /paper/sections/model.tex | |
| parent | 724dae4487559d7e52c5ac56b9059d124b664a13 (diff) | |
| download | cascades-0ff14f56819acfc7be77f9237e18417d465b2266.tar.gz | |
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Diffstat (limited to 'paper/sections/model.tex')
| -rw-r--r-- | paper/sections/model.tex | 5 |
1 files changed, 2 insertions, 3 deletions
diff --git a/paper/sections/model.tex b/paper/sections/model.tex index 36829f2..d8706bc 100644 --- a/paper/sections/model.tex +++ b/paper/sections/model.tex @@ -12,8 +12,7 @@ state space $\{0, 1, \dots, K-1\}^V$ with the following properties: that all transition probabilities of the Markov process are either constant or can be expressed as a function of the graph parameters $\Theta$ and the set of ``contagious nodes'' at the previous time step. -\item The initial probability over $\{0, 1, \dots, K-1\}^V$ of the Cascade - Model is such that all nodes can eventually reach a \emph{contagious state} +\item The initial probability over $\{0, 1, \dots, K-1\}^V$ is such that all nodes can eventually reach a \emph{contagious state} with non-zero probability. The ``contagious'' nodes at $t=0$ are called \emph{source nodes}. \end{enumerate} @@ -26,7 +25,7 @@ the ``single source'' assumption made in \cite{Daneshmand:2014} and \cite{Abrahao:13} as well as the ``uniformly chosen source set'' assumption made in \cite{Netrapalli:2012} verify condition 3. -In the context of Graph Inference, \cite{Netrapalli:2012} focuses specifically +In the context of Graph Inference, \cite{Netrapalli:2012} focus on the well-known discrete-time independent cascade model recalled below, which \cite{Abrahao:13} and \cite{Daneshmand:2014} generalize to continuous time. We extend the independent cascade model in a different direction by considering |
